"One finds […] many real roots within these bounds, and it is very likely that all roots are real." Questa frase è nota come “Ipotesi di Riemann” ed è contenuta nel suo articolo del 1859. Se questa ipotesi venisse dimostrata, implicherebbe che la Teoria analitica dei numeri, la Teoria delle matrici random e la Fisica del caos risulterebbero fra loro intimamente connesse al punto da essere rappresentazioni distinte di un’unica struttura matematica ancora da individuare. Questo è solo uno dei motivi del perché essa rappresenti una delle sfide più importanti della Matematica contemporanea. Il volume si pone l’obiettivo di esporre in dettaglio queste implicazioni e di proporre una strategia di dimostrazione. [Abstract translated by Google Translate: This is the abstract in English… "One finds […] many real roots within these bounds, and it is very likely that all roots are real." This phrase is known as the "Riemann Hypothesis" and is contained in his 1859 article. If this hypothesis were demonstrated, it would imply that the Analytical Number Theory, the Random Matrix Theory and the Physics of Chaos are intimately connected to each other and are distinct representations of a single mathematical structure yet to be identified. This is only one of the reasons why this hypothesis represents one of the most important challenges of contemporary mathematics. The volume aims to expose these implications in detail and to propose a demonstration strategy.]
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